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If 2 sin ^(2) x + cos ^(2) 45^(@) = tan...

If ` 2 sin ^(2) x + cos ^(2) 45^(@) = tan 45^(@) and x ` is an acute angle, then the value of tan x is :

A

1

B

`sqrt(3)`

C

`(1)/(sqrt(3))`

D

3

Text Solution

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The correct Answer is:
C
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S CHAND IIT JEE FOUNDATION-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES -Question Bank - 33
  1. If x tan 30^(@) = (sin 30^(@) + cos 60^(@))/( tan 60^(@) + sin 60^(@)...

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  2. The value of sin 0^(@) + cos 30^(@) - tan 45^(@) + cosec 60^(@) + cot ...

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  3. If 2 sin ^(2) x + cos ^(2) 45^(@) = tan 45^(@) and x is an acute an...

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  4. The value of a sin 0^(@) + b cos 90^(@)+ c tan 45^(@) is

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  5. The value of (sin 30^(@) - cos 60^(@) + tan 45^(@))/(cos 90^(@) + tan ...

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  6. The value of (1)/(2) sin ^(2) 90^(@) sin^(2) 30^(@) cos ^(2) 45^(@) + ...

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  7. The value of (cos 0^(@) + sin 45^(@) + sin 30^(@)) (sin 90^(@) - cos 4...

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  8. (tan 60^(@) - tan 30^(@))/(1 + tan 60^(@) tan 30^(@)) equal

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  9. Find the value of x, if sin 2 x = sin 60^(@) cos 30^(@) - cos 60^(@...

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  10. tan 26^(@) - cot 64^(@) equals

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  11. (sin19^@)/(cos71^@)+(cos73^@)/(sin17^@)

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  12. Consider the following equations : 1 . (cos 75^(@))/( sin 15 ^(@)) +...

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  13. sin ^(2) 25^(@) + sin ^(2) 65^(@) is equal to

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  14. If sin (30 ^(@) - theta) = cos (60 ^(@) + phi) , then

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  15. The value of cot 15^(@) cot 16^(@) cot 17^(@) . . . . . cot 73^(@) cot...

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  16. If sin theta = cos theta, then value of theta is :

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  17. Value of cos^(2) 5^(@) + cos^(2) 10^(@) + cos^(2) 80^(@) + cos ^(2) 85...

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  18. If sin 3 theta = cos (theta - 2^(@)) where 3 theta and (theta - 2^(@...

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  19. If tan theta = 1 and sin phi = (1)/( sqrt(2)) , then the value of co...

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  20. If x cos 60^(@) + y cos 0^(@) = 3 and 4x sin 30^(@) - y cot 45^(@) =...

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